The generator matrix

 1  0  0  0  1  1  1  6  1  1  1  1  1  1 2X  1  1  1  1  1 2X  1 2X 2X+3  X  1  1  1  1  1  X  1 X+6 X+3  1  1  1  1  1
 0  1  0  0  6  1  4  1  X  3 X+1  5 X+5  7  1 2X+7 2X+4 2X+5 X+6  2  1 2X+7 X+6 2X+6  1 2X+3 2X+8 2X+3  3 X+1  1 2X+1  1  1 2X+6  2 2X+2 2X+8 2X+3
 0  0  1  0 2X+7 2X+1 X+5 2X+4 X+1 2X 2X+3 2X+5 X+8  8 X+6 X+7  X X+3  2 X+1 2X+4 2X+7  1  1  0 X+6 2X+4 2X+8 X+4  5  1 X+2 X+5 2X+8 2X+5  2 2X X+1 2X+6
 0  0  0  1 2X+5  3 2X+2 2X+2  1 X+2 X+7 X+8 2X+7 X+6  8 2X+8 2X+6 2X+1 X+4  0 2X  4 X+7 X+8 X+7 X+1  5 2X+3 X+6  4 2X+1 2X+3  X 2X+6  X  X X+8 2X+7 2X+1

generates a code of length 39 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+396x^68+1020x^69+4224x^70+5364x^71+11814x^72+17760x^73+23568x^74+37986x^75+52080x^76+59706x^77+72450x^78+77262x^79+61650x^80+49088x^81+32604x^82+13572x^83+7530x^84+2622x^85+396x^86+150x^87+72x^88+90x^89+18x^90+12x^92+6x^93

The gray image is a code over GF(3) with n=351, k=12 and d=204.
This code was found by Heurico 1.16 in 293 seconds.